Use massive, thin, ground-tethered airships to lift enormous thin film solar arrays above cloud level, where they could enjoy more direct sunlight, and send the generated electricity to ground via the tethers - a bit like Glaser's orbital solar power stations, but much cheaper and easier
to build.

If the panels are mounted at the correct angle,
they can be made to track the sun by turning the
blimp.

high tech cables would be required, but the
tethers could conduct the power to ground as well
as hold the ship in position.

Another possibility is beaming the energy to
ground via microwaves... although there are
significant problems with that: Danger on the
ground due to misalignment, losses, cost, and I
think clouds dissipate microwave energy to some
degree.

All in all, this idea is only useful in areas where
intense sunlight is regularly obscured by clouds
and no other energy source is available.